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Chapter 2: Q74E (page 67)
A typical household uses 500 kWh of energy in I month. How much mass is convened to produce this energy?
The mass to produce energy for household consumption is .
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Equations (2-38) relate momentum and total energy in two frames. Show that they make sense in the non-relativistic limit.
Refer to Figure 2.18. (a) How long is a spaceship? (b) At what speed do the ships move relative to one another? (c) Show that Anna鈥檚 times are in accord with the Lorentz transformation equations. (d) Sketch a set of diagrams showing Anna鈥檚 complementary view of the passing of the ships. Include times in both frames.
Bob and Bob Jr. stand open doorways. At opposite ends of an aero plane hangar long..Anna owns a spaceship 40m, long as it sits on the .runway. Anna takes off in her spaceship, swoops through the hangar at constant velocity. At precisely time zero onboth Bob's, clock and Anna's, Bob see Anna at. front of her spaceship reach his doorway. At time zero on his clock, Bob Jr. sees the tail of Anna', spaceship .his doorway. (a) How fast is Anna路, spaceship moving? (b) What will Anna's clock read when She sees the tail of spaceship at the doorway where Bob Jr standing her? (c) How far will the Anna say the front of her spaceship is from Bob at this time?
Show that for a source moving towards an observer equation (2-17) becomes
You stand at the center of your spaceship and watch Anna's identical ship pass at . At on your wristwatch, Anna, at the center of her ship, is directly across you and her wristwatch also reads .
(a) A friend on your ship, from you in a direction towards the tail of the ship, looks at a clock directly across from him on Anna's ship. What does it read?
(b) Your friend now steps onto Anna's ship. By this very act he moves from a frame where Anna is one age to a frame where she is another. What is the difference in these ages? Explain.
(c) Answer parts (a) and (b) for a friend from you but in a direction toward the front of Anna's passing ship.
(d) What happens to the reading on a clock when you accelerate toward it? Away from it?
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